2. Find the general solution to y(4) -4y" +14y" +44y+25y 0 3. Find the general solution...
Q5) Find a general solution. Check your answer by substitution. 4y" – 25y = 0 y" + 36y = 0 y" + 6y' + 8.96y = 0) y" + 2k%y' + k4y = 0 Q6) Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 4y" – 4y' – 3y = 0, y(-2) = e, y'(-2) =...
Find the general solution of the given second-order differential equation. y'' + 10y' + 25y = 0 Solve the given differential equation by undetermined coefficients. y'' + 4y = 2 sin 2x Solve the given differential equation by undetermined coefficients. y'' − y' = −10
3. Determine the general solution of each differential equation. (a) y" – 10y' + 25y = 0) (b) 2y" – 4y' +9 = 0) (C) x2y" + 3xy' + 4y = 0)
Find the general solution of y” + 4y' + 5y = 0. Select one: • a. y = {-2x (cos(x) + sin(x)) b. y = e-24 (A cos(x) + B sin(x)) c.y = Cje-2x (cos(x) + sin(x)) O d. y = e*(A cos(2x) + B sin(2x))
- 4y = 71 +et+ sin(2) a. Find the general solution b. Find a solution such that y(0) = 0, 7(0) = 1. - 7
(1 point) Find the general solution to y + 8y" + 25y' = 0. In your answer, use c. and.cy to denote arbitrary constants and the independent variable. help (equations)
Find the general solution of y(6) – 3y(5) + 4y(4) — 127" = 0.
4(10pt). Find the general solution for the following equations. (a) y) – 4y(3) + 5y" = 0. (b) z'y' - xy - y=0. (Hint: Use substitution v = Inx.)
dy 2. Find the general solution of -y+e"y dv -6xy 3. Find the general solution of t dr 4y+9x2 dy dx Find the general solution of бх2e" + 4y. 4. 5. Find the general solution of dr (y +2) dy 5x +4y Find the general solution of dx 8y3 d By'-4x
6- Solve the following nonhomogeneous differential equation + 4y = cos(t), y(0) = 2 7) Find a general solution to the Caucy-Euler differential equation 224" + 6xy' - 14y = 0.